Deep-inelastic scattering, partons and strong interaction ideas

The quark-parton model as applied to deep-inelastic lepton-hadron scattering is used as a laboratory model for the study of ideas encountered in strong interaction physics. First, two-component duality constraints are imposed on single-particle inclusive deep-inelastic distributions. In the target fragmentation region this involves a modification of the definition of the E functions introduced by Feynman. A duality relation connecting neutrino and electroproduction single-particle inclusive distributions is obtained. For ω → 1 and ω → ∞ we predict in the target fragmentation region an excess of π⁺ over π^- production for proton targets and an excess of π^- over π⁺ for neutron targets. For deuteron targets we find an excess of π^- over π⁺ for ω → 1. In our laboratory model we study the analogue of the problem of approach to Feynman scaling encountered in hadronic reactions and the related problem of exodicity criteria. We find that for large ω, in both fragmentation regions, Feynman scaling is reached from above. If ab is exotic, single particle inclusive distributions for any type of observed hadron are flat as a function of ω. For the production of fast hadrons in the fragmentation regions, even when ab is not exotic, cross sections are flat when abc is exotic.